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Home » Determine whether the argument used to check the validity of the following statement is correct: p: “If x2 is irrational, then x is rational.” The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.
Determine whether the argument used to check the validity of the following statement is correct: p: “If x2 is irrational, then x is rational.” The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.
CBSE | Class 11 | Exercise 31.6 | Mathematical Reasoning | Maths | RD Sharma
Determine whether the argument used to check the validity of the following statement is correct: p: “If x2 is irrational, then x is rational.” The statement is true because the number x2 = π2 is irrational, therefore x = π is irrational.

Answer:

Argument Used: x2 = π2 is irrational

So, x = π is irrational.

p: “If x2 is irrational, then x is rational.”

Consider,

An irrational number given by x = √k  [k is a rational number]

Squaring both sides,

x2 = k

x2 is a rational number and contradicts our statement.

The argument is wrong.

i

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